Solve the following system of equation by using the method of substitution. x + 2y = -1 and 2x – 3y =12

Mathematics

1 answer:

Sergio039 [100]2 years ago

6 0

Answer:

x = 3

y = -2

Step-by-step explanation:

x + 2y = -1

2x – 3y =12

Using substitution means that in one equation you solve for a variable. In this case, the first equation would be easier to solve for x since there are no coefficients.

x = -2y - 1

Now, we plug in the value of x into the second equation, and solve for y.

2 (-2y - 1) - 3y = 12

-4y - 2 - 3y = 12

-7y - 2 = 12

-7y = 14

y = -2

Since we have a numerical value of y, we can use it to solve for x by plugging it into one of the original equations.

x + 2(-2) = -1

x - 4 = - 1

x = 3

If you'd like to check the answer, plug in both values you got to the original equations!

I hope this helps!

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