y = 4 + 2x · 2020. 6. 16. · -5x - 3y = -23 y = -39 + 5x-4x + 5y = 20 y = 4 + 2x 7x - 2y = -66 x...

-5x - 3y = -23

y = -39 + 5x

-4x + 5y = 20

y = 4 + 2x

7x - 2y = -66

x = -4 + 3y

-2x - 5y = -56

y = 16 - 2x

Solve each system of equations using substitution.

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-5x - 3y = -23

y = -39 + 5x

-5x - 3(-39 + 5x) = -23

-5x + 117 - 15x = -23

-20x = -140

x = 7

-5(7) - 3y = -23

-35 - 3y = -23

-3y = 12

y = -4

-4x + 5y = 20

y = 4 + 2x

-4x + 5(4 + 2x) = 20

-4x + 20 + 10x = 20

6x = 0

x = 0

-4(0) + 5y = 20

+ 5y = 20

5y = 20

y = 4

7x - 2y = -66

x = -4 + 3y

7(-4 + 3y) - 2y = -66

-28 + 21y - 2y = -66

19y = -38

y = -2

7x - 2(-2) = -66

7x + 4 = -66

7x = -70

x = -10

-2x - 5y = -56

y = 16 - 2x

-2x - 5(16 - 2x) = -56

-2x - 80 + 10x = -56

8x = 24

x = 3

-2(3) - 5y = -56

-6 - 5y = -56

-5y = -50

y = 10

Answer KeySolve each system of equations using substitution.


-4x + 5y = -57

y = 6 - 5x

-7x - 2y = 37

y = -17 - 3x

-3x + 5y = 33

x = 17 - 3y

7x + 4y = -95

y = 37 + 5x



-4x + 5y = -57

y = 6 - 5x

-4x + 5(6 - 5x) = -57

-4x + 30 - 25x = -57

-29x = -87

x = 3

-4(3) + 5y = -57

-12 + 5y = -57

5y = -45

y = -9

-7x - 2y = 37

y = -17 - 3x

-7x - 2(-17 - 3x) = 37

-7x + 34 + 6x = 37

-x = 3

x = -3

-7(-3) - 2y = 37

21 - 2y = 37

-2y = 16

y = -8

-3x + 5y = 33

x = 17 - 3y

-3(17 - 3y) + 5y = 33

-51 + 9y + 5y = 33

14y = 84

y = 6

-3x + 5(6) = 33

-3x + 30 = 33

-3x = 3

x = -1

7x + 4y = -95

y = 37 + 5x

7x + 4(37 + 5x) = -95

7x + 148 + 20x = -95

27x = -243

x = -9

7(-9) + 4y = -95

-63 + 4y = -95

4y = -32

y = -8



4x + 5y = 17

x = -10 - 6y

-5x + 3y = -23

x = -17 - 3y

-4x - 9y = 99

x = -23 - 2y

-5x + 6y = 64

x = 25 - 3y



4x + 5y = 17

x = -10 - 6y

4(-10 - 6y) + 5y = 17

-40 - 24y + 5y = 17

-19y = 57

y = -3

4x + 5(-3) = 17

4x - 15 = 17

4x = 32

x = 8

-5x + 3y = -23

x = -17 - 3y

-5(-17 - 3y) + 3y = -23

85 + 15y + 3y = -23

18y = -108

y = -6

-5x + 3(-6) = -23

-5x - 18 = -23

-5x = -5

x = 1

-4x - 9y = 99

x = -23 - 2y

-4(-23 - 2y) - 9y = 99

92 + 8y - 9y = 99

-y = 7

y = -7

-4x - 9(-7) = 99

-4x + 63 = 99

-4x = 36

x = -9

-5x + 6y = 64

x = 25 - 3y

-5(25 - 3y) + 6y = 64

-125 + 15y + 6y = 64

21y = 189

y = 9

-5x + 6(9) = 64

-5x + 54 = 64

-5x = 10

x = -2



-4x + 6y = -34

y = 9 - 3x

-2x + 3y = -8

x = 7 + 3y

-9x - 2y = 32

x = -16 - 2y

-6x - 4y = 12

x = 38 + 6y



-4x + 6y = -34

y = 9 - 3x

-4x + 6(9 - 3x) = -34

-4x + 54 - 18x = -34

-22x = -88

x = 4

-4(4) + 6y = -34

-16 + 6y = -34

6y = -18

y = -3

-2x + 3y = -8

x = 7 + 3y

-2(7 + 3y) + 3y = -8

-14 - 6y + 3y = -8

-3y = 6

y = -2

-2x + 3(-2) = -8

-2x - 6 = -8

-2x = -2

x = 1

-9x - 2y = 32

x = -16 - 2y

-9(-16 - 2y) - 2y = 32

144 + 18y - 2y = 32

16y = -112

y = -7

-9x - 2(-7) = 32

-9x + 14 = 32

-9x = 18

x = -2

-6x - 4y = 12

x = 38 + 6y

-6(38 + 6y) - 4y = 12

-228 - 36y - 4y = 12

-40y = 240

y = -6

-6x - 4(-6) = 12

-6x + 24 = 12

-6x = -12

x = 2



8x + 3y = 7

y = 4 - x

-3x - 2y = -12

x = -35 - 5y

-9x - 7y = -39

x = 39 + 5y

-3x + 4y = 48

x = -31 + 3y



8x + 3y = 7

y = 4 - x

8x + 3(4 - x) = 7

8x + 12 - 3x = 7

5x = -5

x = -1

8(-1) + 3y = 7

-8 + 3y = 7

3y = 15

y = 5

-3x - 2y = -12

x = -35 - 5y

-3(-35 - 5y) - 2y = -12

105 + 15y - 2y = -12

13y = -117

y = -9

-3x - 2(-9) = -12

-3x + 18 = -12

-3x = -30

x = 10

-9x - 7y = -39

x = 39 + 5y

-9(39 + 5y) - 7y = -39

-351 - 45y - 7y = -39

-52y = 312

y = -6

-9x - 7(-6) = -39

-9x + 42 = -39

-9x = -81

x = 9

-3x + 4y = 48

x = -31 + 3y

-3(-31 + 3y) + 4y = 48

93 - 9y + 4y = 48

-5y = -45

y = 9

-3x + 4(9) = 48

-3x + 36 = 48

-3x = 12

x = -4



-3x - 4y = 64

x = 2 + y

-6x - 7y = 17

y = 13 - 6x

6x - 9y = -69

y = 45 + 6x

-6x + 4y = -26

x = -1 - 2y



-3x - 4y = 64

x = 2 + y

-3(2 + y) - 4y = 64

-6 - 3y - 4y = 64

-7y = 70

y = -10

-3x - 4(-10) = 64

-3x + 40 = 64

-3x = 24

x = -8

-6x - 7y = 17

y = 13 - 6x

-6x - 7(13 - 6x) = 17

-6x - 91 + 42x = 17

36x = 108

x = 3

-6(3) - 7y = 17

-18 - 7y = 17

-7y = 35

y = -5

6x - 9y = -69

y = 45 + 6x

6x - 9(45 + 6x) = -69

6x - 405 - 54x = -69

-48x = 336

x = -7

6(-7) - 9y = -69

-42 - 9y = -69

-9y = -27

y = 3

-6x + 4y = -26

x = -1 - 2y

-6(-1 - 2y) + 4y = -26

6 + 12y + 4y = -26

16y = -32

y = -2

-6x + 4(-2) = -26

-6x - 8 = -26

-6x = -18

x = 3



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y = 4 + 2x · 2020. 6. 16. · -5x - 3y = -23 y = -39 + 5x-4x + 5y = 20 y = 4 + 2x 7x - 2y = -66 x...

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