sonja_lee2
what is the x-coordinate of the solution of system of equations? 2x-y=6
y=-3x+19
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JayDS
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rearrange the equation of 2x-y=6 into terms of y first.
sonja_lee2
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so y=-2x+6?
JayDS
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y=2x+6
JayDS
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2x-y=6 (bring the y to the right hand side so + y on both sides) and also (bring the six to the left hand side by -6 on both sides)
2x-6=y
y=2x-6
sonja_lee2
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ok
JayDS
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now, solve both equations
JayDS
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1) y=2x-6
2) y=-3x+19
JayDS
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tell me what you get for the x value afterwards.
sonja_lee2
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how though?
JayDS
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do you know how to solve for both equations?
sonja_lee2
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no
JayDS
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okok, let me explain sonja, it's sonja right?
sonja_lee2
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yes
JayDS
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1) y=2x-6
2) y=-3x+19
we want to find the x value and to do this we have to get rid of the y value. Since we rearranged the first equation already in terms of y, we can directly solve for x now.
JayDS
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|dw:1350442906070:dw|
JayDS
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y-y= 0
2x--3x becomes 2x+3x=5x
-6-19=-25
0=5x-25
5x-25=0
5x=25
x=25/5
x=5