Question

Solve the simultaneous equations 5 x + y = 22 2 x + y = 10

Answer 1

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Answer 2

Answer: x=4, y=2

Step-by-step explanation:

5x+y=22           (eqn 1)

2x+y=10            (eqn 2)

Using substitution method

From eqn 2

2x+y=10

y=10-2x

Put  y=10-2x into eqn 1

5x+y=22

5x+(10-2x)=22

5x-2x=22-10

3x=12

x=4

put x=4 into eqn 2

2x+y=10

2(4) +y+10

8+y=10

y=10-8

y=2