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jek_recluse [69]

3 years ago

10

Solve for x and y. -4x + 8y = -4 4x = 3y + 14

2 answers:

Natali5045456 [20]3 years ago

6 0

-4x+8y=-4 and 4x=3y+14

<span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4</span></span><span>x=<span><span>2y</span>+1</span></span>
and
<span><span><span>4x</span>4</span>=<span><span><span>3y</span>+14</span>4</span></span><span>x=<span><span><span>34</span>y</span>+<span><span>72 </span></span></span></span>

algol133 years ago

5 0

Hello!! Lets do this step by step! :)
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span>
<span /></span><span /></span><span /></span>To first get x:
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y </span></span></span></span>we are ganna add -8y to both sides
<span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4 </span></span></span>we are ganna divide both sides by -4
<span>x=<span><span>2y</span>+1</span></span>
next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span>
we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span>
we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span>
now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>

And we get our answer!
x=5
y=2

Hope that helps! If you have any other questions or need further explanation just let me know! :)

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Step-by-step explanation:

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