Answer:
1) (2,10) is solution of y=4x+2
2) (7,5) is not solution of 2x+y=5
3) (-3,3) is not solution of y=6-x
4) (10,-1) is solution of x+8y=2
5) (2,21) is not solution of y=6x+7
6) (6,-8) is solution of 3x-y=26
Step-by-step explanation:
1) y=4x+2 (2,10)
Put x=2 and y=10 and check if both sides are equal or not
10=4(2)+2
10=8+2
10=10
So, (2,10) is solution of y=4x+2
2) 2x+y=5 (7,5)
Put x=7 and y=5 and check if both sides are equal or not
2x+y=5
2(7)+5=5
14+5=5
19≠5
So, (7,5) is not solution of 2x+y=5
3) y=6-x (-3,3)
Put x=-3 and y=3 and check if both sides are equal or not
y=6-x
3=6-(-3)
3=6+3
3≠9
So, (-3,3) is not solution of y=6-x
4) x+8y=2 (10,-1)
Put x=10 and y=-1 and check if both sides are equal or not
x+8y=2
10+8(-1)=2
10-8=2
2=2
So, (10,-1) is solution of x+8y=2
5) y=6x+7 (2,21)
Put x=2 and y=21 and check if both sides are equal or not
y=6x+7
21=6(2)+7
21=12+7
21≠19
So, (2,21) is not solution of y=6x+7
6) 3x-y=26 (6,-8)
Put x=6 and y=-8 and check if both sides are equal or not
3x-y=26
3(6)-(-8)=26
18+8=26
26=26
(6,-8) is solution of 3x-y=26
