Find the missing coordinate to complete the ordered-pair solution to the given linear equation.5x−4y=27(a) (−1, ___)(b) (___,2)(a) The ordered-pair solution is (−1,□)(b) The ordered-pair solution is (□,2)
Q. Find the missing coordinate to complete the ordered-pair solution to the given linear equation.5x−4y=27(a) (−1, ___)(b) (___,2)(a) The ordered-pair solution is (−1,□)(b) The ordered-pair solution is (□,2)
Substitute x into equation: Plug x=−1 into the equation to find y.5(−1)−4y=27−5−4y=27
Add 5 to both sides: Add 5 to both sides to isolate the term with y.−4y=27+5−4y=32
Divide by −4 for y: Divide both sides by −4 to solve for y.y=−432y=−8
Substitute y into equation: Now, plug y=2 into the equation to find x.5x−4(2)=275x−8=27
Add 8 to both sides: Add 8 to both sides to isolate the term with x.5x=27+85x=35
Divide by 5 for x: Divide both sides by 5 to solve for x.x=535x=7