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Given the equations 2x + 2y = 16 and 4x - 3y = -3, what are the values of x and y?
Steps: 1. Put 2x + 2y=16 into slope-intercept form 2. Subtract 2x on both sides 2y= -2x + 16 3. Divide by 2 on both sides Y= -x + 8 4. Substitute the y in 4x -3y=-3 for -x + 8 4x -3(-x + 8)= -3 5. Multiply everything in parentheses 4x + 3x + (-24)= -3 7x + (-24)=-3 6. Add 24 on both sides 7x=21 7. Divide by 7 8. X= 3 9. Substitute the x for a 3 in one of the equations Y=-x + 8 Y= -3 + 8 Y=5 10. Your answers are X= 3 Y= 5
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