CAN YOU SOLVE THIS???

Algebra Level pending

3 x + 2 y = 32 3x + 2y = 32

x + 4 y = 24 x + 4y = 24

What does x x equal?


The answer is 8.

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3 solutions

Mahdi Raza
Aug 1, 2020

2 ( 1 ) ( 2 ) 5 x = 40 x = 8 2(1)-(2) \implies 5x = 40 \implies \boxed{x=8}

James Watson
Jul 29, 2020

The second equation can be rearranged for x x : x + 4 y = 24 x = 24 4 y x+4y=24 \Rightarrow x=24-4y

We can substitute x x into the top equation: 3 x + 2 y = 32 3 ( 24 4 y ) + 2 y = 32 72 10 y = 32 3x+2y=32 \Rightarrow 3(24-4y)+2y=32 \Rightarrow 72-10y=32

Now we can solve for y y : 72 10 y = 32 10 y = 40 y = 4 72-10y=32 \Rightarrow 10y=40 \Rightarrow y=\boxed{4}

Using this, we can solve for x x using our rearranged equation:

x = 24 4 y x = 24 16 = 8 x=24-4y \Rightarrow x=24-16 = \boxed{8}

The answer is x = 8 \boxed{x=8}

Fc Shahriar18
Oct 8, 2020

Multiplying the first equation by 2: 6 x + 4 y = 64 6x + 4y = 64 Let's subtract both equations: 6 x + 4 y x 4 y = 64 24 5 x = 40 6x + 4y -x-4y=64-24\implies5x = 40 So, x = 8 x = 8

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