Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

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