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33 votes
33 votes
X+3y=22
2x-y=2

Solve system by substitution

User Zahra Shahrouzi
by
2.2k points

1 Answer

18 votes
18 votes

Explanation:

substitution means that we use one equation to express one variable by the other. with that e go into the other equation to solve for the now single variable.

with that we then go back into one of the original equations to solve for the second variable.

x + 3y = 22

2x - y = 2

from the first equation we get

x = 22 - 3y

and that we use more in the second equation

2(22 - 3y) - y = 2

44 - 6y - y = 2

42 - 7y = 0

42 = 7y

y = 6

now we use that e.g. in the second original equation

2x - 6 = 2

2x = 8

x = 4

so, (4, 6) is the solution.

User Ishraq Ahmad
by
3.2k points