Solve y=5x-7 and -3x-2y= -12

Answer 1

In the second equation, we have two variables. We know what one of those variables, "y," is equal to already. Y is equal to the first equation: y = 5x-7.

As a result, we can substitute "y" in the second equation with "5x-7" as seen below:

-3x-2(5x-7) = -12

Now, since there are no longer two variables, we can solve for x! Start off by distributing the "-2" to the items within the parentheses:

-3x-10x+14 = -12

Now, we can combine the x's:

-13x+14 = -12

Next, move the +14 over to the right-hand side of the equation:

-13x = -26

Done! Just solve for x:

x = 2

Of course, we want to know the exact value of "y," too. Plug your new value of x, 2, into either equation and solve for y. It doesn't matter which equation you choose; you'll end up with the same answer. I picked the first equation because it looks a little easier:

y=5(2)-7

y = 3

X = 2, Y = 3

Answer 2

In order to solve these two equations it is easiest to use substitution.

y=5x-7 and -3x-2y=-12

Substitute (5x-7) in for y of the second equation

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-26

x=2 ***Now plug your value of x back into the first equation

y=5(2)-7

y=10-7

y=3

the solution to the equation is (2, 3)