Solve this system of linear equations. Seperate the x- and y- values with a comma. -2x=82-14y -9x=26-14y
1 answer:
<span>-2x=82-14y
-9x=26-14y
First, solve </span>−2x=−14y+82 for x by dividing each side by -2<span>
-2x </span>÷ -2 =
<span>x=<span>7y−<span>41
</span></span></span>
Substitute 7y−41 for x in <span>−9x=<span>−14y+<span>26
</span></span></span><span><span>−<span>9<span>(<span>7y−41</span>)</span></span></span>=<span>−14y+<span>26
</span></span></span>
Simplify each side
<span>−63y+369=<span>−14y+<span>26
</span></span></span>
Add 14y to each side
<span><span>−63y+369+14y</span>=<span>−14y+26+<span>14y
</span></span></span><span>−49y+369=<span>26
</span></span>
Add -369 to each side
<span><span>−49y+369+−369</span>=<span>26+<span>−369
</span></span></span><span>−49y=<span>−<span>343
</span></span></span>
Divide each side by -49
-49y ÷ -49y = -343 ÷ -49
y = 7
============================================================
Substitute 7 for y in <span>x=<span>7y−<span>41
</span></span></span><span>x=<span><span><span>(7)</span><span>(7)</span></span>−<span>41
</span></span></span>x = 8
Your answer is (8,7)
-9x=26-14y
First, solve </span>−2x=−14y+82 for x by dividing each side by -2<span>
-2x </span>÷ -2 =
<span>x=<span>7y−<span>41
</span></span></span>
Substitute 7y−41 for x in <span>−9x=<span>−14y+<span>26
</span></span></span><span><span>−<span>9<span>(<span>7y−41</span>)</span></span></span>=<span>−14y+<span>26
</span></span></span>
Simplify each side
<span>−63y+369=<span>−14y+<span>26
</span></span></span>
Add 14y to each side
<span><span>−63y+369+14y</span>=<span>−14y+26+<span>14y
</span></span></span><span>−49y+369=<span>26
</span></span>
Add -369 to each side
<span><span>−49y+369+−369</span>=<span>26+<span>−369
</span></span></span><span>−49y=<span>−<span>343
</span></span></span>
Divide each side by -49
-49y ÷ -49y = -343 ÷ -49
y = 7
============================================================
Substitute 7 for y in <span>x=<span>7y−<span>41
</span></span></span><span>x=<span><span><span>(7)</span><span>(7)</span></span>−<span>41
</span></span></span>x = 8
Your answer is (8,7)
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