How do you solve this system of equations: -8x - y = 14 and - 5x + y = 12?
2 Answers
Explanation:
Equation 1:
Equation 2:
To solve these equation try to remove one variable.
equation 1 +equation 2
Substitute value of
Substituting value of
Explanation:
-8x-y=14to(1)
-5x+y=12to(2)
"using the "color(blue)"substitution method"
"from "(2)" express y in terms of x"
rArry=12+5xto(3)
color(blue)"substitute "y=12+5x" into "(1)
-8x-(12+5x)=14
rArr-8x-12-5x=14
rArr-13x-12=14
"add 12 to both sides"
-13xcancel(-12)cancel(+12)=14+12
rArr-13x=26
"divide both sides by - 13"
(cancel(-13) x)/cancel(-13)=26/(-13)
rArrx=-2
"substitute this value into "(3)
rArry=12+(5xx-2)=12-10=2
rArr"point of intersection "=(-2,2)
graph{(y-5x-12)(y+8x+14)((x+2)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}