Question

8x + 4y= 12 2x + y= 3

Answer 1

$\tt Step-by-step~explanation:$

In order to solve for both x and y, we need to use the substitution property, where we replace a variable with what we solved for.

$\tt Step~1:$

Let's solve for y first. Equation (1st one): 8x + 4y = 12. To isolate y, we can first subtract 8x from both sides, and then divide all terms by 4.

$\tt 8x- (8x)+4y=12-(8x)\\4y=12-8x\\4y/4=y\\12/4=3\\-8x/4=-2x\\y=3-2x$

$\tt Step~2:$

Then, we can solve for x. Let's take the second equation: 3x + y = 3. We take what we solved for in the previous step and plug it into this equation.

$\tt 2x+(3-2x)=3\\2x+3-2x=3\\2x-2x=0\\3-3=0\\0=0\\x=x$

$\large\boxed{\tt Our ~final~answer:(x,3-2x)}$

Both equations are also the same, so the solution = all real numbers for x.

$\tt y=3-2x\\3-2x=3-2x$