Question

4x + y = 11. x + 2y = 8

Answer 1

what are you searching for

Answer 2

combine like terms:
4x + y = 11. x + 2y = 8

Answer 3

I am assuming that your post represents a system of equations. Two common ways to solve are: "Elimination" or "Substitution. I choose to use the "elimination" method. This method you eliminate one of the variables (either x or y) ending up with an equation with only one unknown. I also choose to eliminate y. To do this use employ the rules of algebra.

Answer 4

I will first multiply the first equation by 2. Remember equals multiplied by equals will produce a product which is also equals.

2(4x + y = 11) = 8x + 2y = 22 I did this so that I now have two equations that have identical coefficients of y.
because I want to eliminate the y.

8x + 2y = 22 I now want to subtract the second equation from this
-(x + 2y = 8)
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7x =14
7x = 14 dividing both sides by 7 we solve for x, x = 2

Answer 5

Now substitute this value of x (2) in one of the original equations and then solve for y. Note you could use either equation.

2 + 2y = 8 subtracting 2 from both sides
2y = 8 - 2 = 6
2y=6
y = 3

Answer 6

A final step you should get used to doing is to verify these values. by replacing them in the original equations. Like so: 4x + y = 11 getting 4(2) + 3 = 11, 8 + 3 = 11
x + 2y = 8, 2 + 2(3) = 8, 2 + 6 = 8

Answer 7

Checks out, Now I know I am correct.