5x+6y=13;-5x+2y=11. how do I solve this
1 answer:
You solve for X in one equation and plug it into the other. So...
<span>5x+6Y=13 </span>
<span>5x=13-6Y </span>
<span>x=(13-6Y)/5 </span>
<span>Then, you replace X in the other equation... </span>
<span>-5x+2y=11 </span>
<span>-5[(13-6y)/5]+2y=11 </span>
<span>-13+6y+2y=11 </span>
<span>8y=11+13 </span>
<span>8y=24 </span>
<span>y=3 </span>
<span>Now that you have Y, you just solve for x using either equations... </span>
<span>5x+6(3)=13 </span>
<span>5x=13-18 </span>
<span>5x=-5 </span>
<span>x=-1 </span>
<span>Therefore, X = -1 & Y = 3
</span>
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