Answer: option C is the correct answer
Step-by-step explanation:
The system of linear equations is
10x + 7y = 12 - - - - - - - 1
8x + 7y = 18 - - - - - - - 2
Since the coefficient of y is the same in equation 1 and equation 2, we will eliminate y by subtracting equation 2 from equation 1, it becomes
10x - 8x + 7y - 7y = 12 - 18
2x = -6
x = - 6/2 = - 3
Substituting x = - 3 into equation 1, it becomes
10×-3 + 7y = 12
-30 + 7y = 12
Let the constants be on the right hand side and the term containing y be on the left hand side. It becomes
7y = 12 + 30
7y = 42
y = 42/7
y = 6
C) (−3, 6)
Answer:
y=-4x+9
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-4(x-3)
y+3=-4(x-3)
y=-4x+12-3
y=-4x+9
The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:
b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3
So, the equation of the line would be y = -3x + 36.
Which equation represents a proportional relationship?
C. y=1/2x+3
Answer:
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Step-by-step explanation:
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