Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
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-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
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2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
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18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
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1.
{4x − y = −38
{x + y = 3
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5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
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