Solve the system of equations by substitution. Show all work neatly on your work page. Checking your work is wise. :) 3x + 2y = -10

y = -5x + 9

(4, -11)

Step-by-step explanation:

We are given the system of equations:

And we want to solve by substitution.

Notice that y is isolated in the second equation.

Therefore, we can substitute the second equation into the first. This gives us:

Now, we can solve for x.

First, distribute:

Next, we can combine like terms:

Subtract 18 from both sides:

And divide both sides by -7:

So, the value of x is 4.

Using the second equation then, we can solve for y:

Since we know that x = 4:

So, our solution is (4, -11).

To check, we can simply substitute the x and y values and see if the two equations are true.

For the first equation:

And for the second equation:

Since both statements are true, (4, -11) is indeed correct!

-1/2 +2

step-by-step explanation: