Answer:
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Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
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2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
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plug in y value to x=2y
so x=2(1)
x=2
Answer:
y = 2x + 8
Step-by-step explanation:
Recall that two parallel lines have the same slope.
Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.
Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:
6 = 2(-1) + b
and solve for the new y-intercept, b:
6 = -2 + b, or
b = 8
Then the new line has the equation y = 2x + 8
