Question

Y=3x+4 y=x-2

elimination

Answer 1

x = -3; y = -5

Explanation:

• We can start by multiplying the second equation by -1.

Doing this will allow us to eliminate y since y - y = 0:

-(y = x - 2)

-y = -x + 2

Solving for x:

Now, we can eliminate y and solve for x by adding the two equations:

y = 3x + 4

+

-y = -x + 2

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

(0 = 2x + 6) - 6

(-6 = 2x) / 2

-3 = x

Thus x = -3.

Solving for y:

Now, we can solve for y by plugging in -3 for x in y = 3x + 4:

y = 3(-3) + 4

y = -9 + 4

y = -5

Thus, y = -5.