x+y= 30
4x+2y=74
y+
What does the y+ signify? Are you supposed to solve for y?
Try doubling the first equation, giving you
2x + 2y = 60
and then subracting the second equation from that.
-2x = -14
Solve that easily for x, and then substitute that x in any equation to get y.
The "y+" signifies that you need to find the value of y. It indicates that you need to solve for y in the given system of equations.
To solve this system of equations, you can use the method of substitution or elimination. Let's use the method of elimination:
Given equations:
x + y = 30 ---(1)
4x + 2y = 74 ---(2)
First, let's double equation (1) to make the coefficients of y the same:
2(x + y) = 2(30)
2x + 2y = 60 ---(3)
Now, subtract equation (2) from equation (3) to eliminate the variable x:
(2x + 2y) - (4x + 2y) = 60 - 74
2x + 2y - 4x - 2y = -14
-2x = -14
To solve for x, divide both sides of the equation by -2:
-2x / -2 = -14 / -2
x = 7
Now that we have the value of x, we can substitute it back into equation (1) to find the value of y:
7 + y = 30
y = 30 - 7
y = 23
Therefore, the solution to the system of equations is x = 7 and y = 23.