Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
The x-value at the y-intercept is 0. The y-value there is 2. As the x-value increases by 1 unit to x=1, the y-value decreases by 1 unit to y=1. Thus, the slope is -1, and the slope-intercept form of the equation can be written as
... y = -x + 2
Subtracting the right side puts the equation into general form.
... x + y - 2 = 0
