3 x + 2 y = 3 2
x + 4 y = 2 4
What does x equal?
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The second equation can be rearranged for x : x + 4 y = 2 4 ⇒ x = 2 4 − 4 y
We can substitute x into the top equation: 3 x + 2 y = 3 2 ⇒ 3 ( 2 4 − 4 y ) + 2 y = 3 2 ⇒ 7 2 − 1 0 y = 3 2
Now we can solve for y : 7 2 − 1 0 y = 3 2 ⇒ 1 0 y = 4 0 ⇒ y = 4
Using this, we can solve for x using our rearranged equation:
x = 2 4 − 4 y ⇒ x = 2 4 − 1 6 = 8
The answer is x = 8
Multiplying the first equation by 2: 6 x + 4 y = 6 4 Let's subtract both equations: 6 x + 4 y − x − 4 y = 6 4 − 2 4 ⟹ 5 x = 4 0 So, x = 8
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2 ( 1 ) − ( 2 ) ⟹ 5 x = 4 0 ⟹ x = 8