Question

PLZ ANSWER FAST. Find the solution of this system of the equations

-3x-7y=-66
-10x-7y=-24

Answer 1

Given system of equations:

`\left \{ {{-3x~-~7y~=~-66} \atop {-10x~-~7y~=~-24}} \right.`

• Let's solve this system of equations using the substitution method. Solve for y in the first equation.

-3x - 7y = -66

• Add 3x to both sides.

-7y = -66 + 3x

• Divide both sides by -7.

y = 66/7 - 3/7x

• Plug y into the second equation.

-10x - 7(66/7 - 3/7x) = -24

• Distribute 7 inside the parentheses.

-10x - 66 + 3x = -24

• Combine like terms on the left side of the equation.

-7x - 66 = -24

• Add 66 to both sides.

-7x = 42

• Divide both sides by -7.

x = -6

• Plug -6 for x into the first equation.

-3(-6) - 7y = -66

• Multiply -3 * -6.

18 - 7y = -66

• Subtract 18 from both sides.

-7y = -84

• Divide both sides by -7.

y = 12

Your answer is:

1. x = -6
2. y = 12

Answer 2

For this, I will be using the elimination method. So with this, subtract the second equation from the first equation to get
`7x=-42` . From here you can solve for x.

For this equation, just divide both sides by 7, and your first answer is
`x=-6`

Now that we have the value of x, substitute it into either equation to solve for y:

`-3(-6)-7y=-66\\ 18-7y=-66\\ -7y=-84\\ y=12\\ \\ -10(-6)-7y=-24\\ 60-7y=-24\\ -7y=-84\\ y=12`

In short, x = -6 and y = 12.