Solve by Substitution 9x+2y=30 , 3x-4y=24

Problem

{[9*x+2*y=30],[3*x−4*y=24])

Solution

1. Solve the second equation for x to isolate a variable.

3*x−4*y=24

3*x=4*y+24

x=4/3*y+8

2. Substitute the expression for x into the first equation.

9*(4/3*y+8)+2*y=30

3. Distribute the constant and simplify the equation.

12*y+72+2*y=30

14*y+72=30

4. Solve for y by isolating the variable.

14*y=−42

y=−3

5. Substitute the value of y back into the expression for x

x=4/3*(−3)+8

x=−4+8

x=4

Final Answer

(x,y)=(4,−3)

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