Question

solve each pair of equation by using the substitution method.
3x - 5y = -1
2) x+2y = -1
x-y=-1
2x - 3y = 12
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Answer 1

Answer:

3x - 5y = -1 eq(1)

x +2y = -1. eq(2)

Substitute x = -1 - 2y in eq(1)

3(-1-2y) - 5y = -1

-3-6y -5y = -1

-y = 2,

y = -2

Substitute y = -2 in the eq(1)

3x - 5 × -2 = -1

3x +10 = -1

x = -11/3

2)

x -y = - 1. eq(1)

2x - 3y = 12. eq(2)

Substitute x = y - 1 in eq(2)

2(y-1) - 3y = 12

2y -2 -3y = 12

-y = 14

y = -14

Now to find x, substitute y = -14in eq(1)

x - (- 14) = -1

x + 14 = -1

x = -15

hope it helps ☺️