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3 years ago

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Solve each system by substitution y=-4x + 5 y= -2x + 1

2 answers:

VikaD [51]3 years ago

5 0

<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>;<span>y=<span><span>−<span>2x</span></span>+1</span></span></span>Step: Solve<span>y=<span><span>−<span>4x</span></span>+5</span></span>for y:Step: Substitute<span><span>−<span>4x</span></span>+5</span>foryin<span><span>y=<span><span>−<span>2x</span></span>+1</span></span>:</span><span>y=<span><span>−<span>2x</span></span>+1</span></span><span><span><span>−<span>4x</span></span>+5</span>=<span><span>−<span>2x</span></span>+1</span></span><span><span><span><span>−<span>4x</span></span>+5</span>+<span>2x</span></span>=<span><span><span>−<span>2x</span></span>+1</span>+<span>2x</span></span></span>(Add 2x to both sides)<span><span><span>−<span>2x</span></span>+5</span>=1</span><span><span><span><span>−<span>2x</span></span>+5</span>+<span>−5</span></span>=<span>1+<span>−5</span></span></span>(Add -5 to both sides)<span><span>−<span>2x</span></span>=<span>−4</span></span><span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−4</span><span>−2</span></span></span>(Divide both sides by -2)<span>x=2</span>Step: Substitute2forxin<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>:</span><span>y=<span><span>−<span>4x</span></span>+5</span></span><span>y=<span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+5</span></span><span>y=<span>−3</span></span><span>(Simplify both sides of the equation)

</span><span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−3</span></span>

MrRa [10]3 years ago

4 0

[-2x+1=-4x+5] is the first step and isolate for x -2x+1=-4x+5: x+2 then you got y=-3 the answer will be x=2, y=-3

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