How do you solve the system of equations #9x + y = 8# and #- 7x - 2y = 6#?
3 Answers
Explanation:
multiply for 2 the equation (1)
now adding both equations
for y just replace in any equation
in (1)
Explanation:
#9x+y=8to(1)#
#-7x-2y=6to(2)#
#"from equation "(1)#
#y=8-9xto(3)#
#"substitute "y=8-9x" in equation "(2)#
#-7x-2(8-9x)=6#
#rArr-7x-16+18x=6#
#rArr11x-16=6#
#"add 16 to both sides"#
#rArr11x=22#
#"divide both sides by 11"#
#rArrx=2#
#"substitute "x=2" in equation "(3)#
#rArry=8-18=-10#
#"point of intersection "=(2,-10)#
See a solution process below:
Explanation:
Step 1) Solve the first equation for
Step 2) Substitute
Step 3) Substitute
The Solution Is:
Or