Question

Use the Substitution Method to solve the following system of equations.
2x - 9y = 1
x - 4y = 1

(1, 5)

(-5, -1)

(5, 1)

(-5, 1)

Answer 1

solution is (5, 1)

Answer 2

Solve the second equation for x:
x=4y+1 (*)
Sub (*) into first equatiuon to get a equation in y
2(4y+1)-9y=1
Solve this one for y
8y+2-9y=1
-y=-1
y=1 (**)
Sub (**) into (*) to get x
x=4(5)+1=5
Therefor solution is as raheen gave

Answer 3

substitution is basic enough; i like cramers for practice tho :)

2x - 9y = 1
x - 4y = 1

y = 2-1 / -8+9
= 1/1
= 1

x = -9+4 / 8-9
= -5 / -1
= 5

Answer 4

Solve the second equation for x: x=4y+1 (*)
Sub (*) into first equatiuon to get a equation in y 2(4y+1)-9y=1
Solve this one for y 8y+2-9y=1 -y=-1 y=1 (**)
Sub (**) into (*) to get x
x=4(5)+1=5
Therefor solution is as raheen gave

Answer 5

Definitley (5,1)