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makkiz [27]
3 years ago
14

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

Mathematics
1 answer:
inna [77]3 years ago
6 0

\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

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