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3 years ago

10

I need help please!

2 answers:

Zigmanuir [339]3 years ago

7 0

Answer:

(8,2)

Step-by-step explanation:

We are given equations:

5x-3y=34 (1)

x-2y=4 (2)

On multiplying second equation by 5, we get

5x-10y=20 (3)

On subtracting equation (1) by (3), we get

7y= 14

⇒ y=2

Putting y=2 in equation (2)

x-2×2=4

⇒ x= 8

Hence, correct option is:

(8,2)

Nana76 [90]3 years ago

3 0

<span><span><span>x−<span>2y</span></span>=4</span>;<span><span><span>5x</span>−<span>3y</span></span>=34</span></span>Step: Solve<span><span>x−<span>2y</span></span>=4</span>for x:<span><span><span>x−<span>2y</span></span>+<span>2y</span></span>=<span>4+<span>2y</span></span></span>(Add 2y to both sides)<span>x=<span><span>2y</span>+4</span></span>Step: Substitute<span><span>2y</span>+4</span>forxin<span><span><span><span>5x</span>−<span>3y</span></span>=34</span>:</span><span><span><span>5x</span>−<span>3y</span></span>=34</span><span><span><span>5<span>(<span><span>2y</span>+4</span>)</span></span>−<span>3y</span></span>=34</span><span><span><span>7y</span>+20</span>=34</span>(Simplify both sides of the equation)<span><span><span><span>7y</span>+20</span>+<span>−20</span></span>=<span>34+<span>−20</span></span></span>(Add -20 to both sides)<span><span>7y</span>=14</span><span><span><span>7y</span>7</span>=<span>147</span></span>(Divide both sides by 7)<span>y=2</span>Step: Substitute2foryin<span><span>x=<span><span>2y</span>+4</span></span>:</span><span>x=<span><span>2y</span>+4</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+4</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span>

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