b You should use the Substitution Method to solve the system of equations.
A
a (4,18)
B
b (-13,6)
Practice makes perfect
a Examining the system of equations, we notice that both equations are solved for y. Therefore, we should use the Substitution Method to solve the system.
Having solved for x and y, we can check our solution by substituting these values into both equations. If the left-hand side and right-hand side are equal, the solution is correct.
y=5x-2 & (I) y=2x+10 & (II)
(I), (II): x= 4, y= 18
18? =5( 4)-2 18? =2( 4)+10
(I), (II): Multiply
18? =20-2 18? =8+10
(I), (II): Add and subtract terms
18=18 âś“ 18=18 âś“
The solution is correct.
b Since the first equation is solved for x, we should use the Substitution Method to solve the system.
Having solved for y, we can check our solution by substituting these values into both equations. If the left-hand side and right-hand side are equal, the solution is correct.
