7x+5y=175
x+y=23
theres 2 different methods u could do. u could solve for either x or y in one of the equations and replace the one you solved for. thatd be the easiest with those numbers
x = 23 - y
7x + 5y = 175
Substitute 23 - y for x in the second equation and solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.
To find the values of x and y in the system of equations:
7x + 5y = 175
x + y = 23
There are several methods to solve this system, such as substitution, elimination, or graphing. Let's use the elimination method to solve this particular system.
Step 1: Multiply the second equation by 5 to make the coefficients of y in both equations equal:
5(x + y) = 5(23)
5x + 5y = 115
Now we have two equations with the same coefficient for y:
7x + 5y = 175
5x + 5y = 115
Step 2: Subtract the second equation from the first equation to eliminate y:
(7x + 5y) - (5x + 5y) = 175 - 115
7x - 5x = 60
2x = 60
x = 60 / 2
x = 30
Step 3: Substitute the value of x back into either of the original equations to solve for y. Let's use the second equation:
x + y = 23
30 + y = 23
y = 23 - 30
y = -7
So the solution to the system of equations is x = 30 and y = -7.