This is a simultaneous equation question.
4(3x+4y = 90)
3(4x-3y = -5)
Multiply the top equation by 4 and the bottom equation by 3 then subtract the bottom equation from the top equation remembering that in maths a minus from a minus is equal to a plus.
12x+16y = 360
12x-9y = -15
And when subtracted:
0+25y = 375
Divide both sides of the equation by 25 to find the value of y:
y = 15
Substitute 15 for y into the original equation to find the value of x:
Solution: x = 10 and y = 15
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y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
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7(3y-2)-(-4y+9)
3x - 4y = 8Solve for x:3x = 4y + 8x = 4/3y + 8/3Solve for y:-4y = -3x + 8y = 3/4x - 2
3x-4y = 8 -4y = -3x+8 y = 3/4x-2 or y = 0.75x-2 which is the equivalent in slope intercept form