The solution is x = 7 and y= 3
<em><u>Solution:</u></em>
Given pairs of equation are:
x = 1 + 2y ------- eqn 1
2x + y = 17 ------- eqn 2
We have to use algebraic method
Algebraic method involves substitution and elimination method
Let us use the substitution method
From equation 1, we can see that x is equal to 1 + 2y. If we substitute this for y in equation 2, we have:
2(1 + 2y) + y = 17
Solve for brackets
2 + 4y + y = 17
Combine the like terms which has same variable
2 + 5y = 17
5y = 17 - 2
5y = 15
Divide both sides of equation by 5
y = 3
So the value of y is 3. This value of y can be substituted into either equation 1 or 2 to find the value of x
Substitute y = 3 in eqn 1
x = 1 + 2(3)
x = 1 + 6
x = 7
So the solution is x = 7 and y = 3
