Solve the following by cross multiplication 4x-3y=23, 3x+4y=11
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Answer:
// Solve equation [2] for the variable y
[2] 4y = -3x + 11
[2] y = -3x/4 + 11/4
// Plug this in for variable y in equation [1]
[1] 4x - 3•(-3x/4+11/4) = 23
[1] 25x/4 = 125/4
[1] 25x = 125
// Solve equation [1] for the variable x
[1] 25x = 125
[1] x = 5
// By now we know this much :
x = 5
y = -3x/4+11/4
// Use the x value to solve for y
y = -(3/4)(5)+11/4 = -1
Answered by
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Step-by-step explanation:
4x-3y=23
3x+4y=11
4x=23+3y
X=23+3y/4
3 (23+3y/4)+3y
69+9y/4+3y
69+4y+12y/4
69+16y/4
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