x-y=5
x+2y=7
Assistance needed
subtract the second equation from the first:
x-x-y-2y=5-7
Now solve for y, then put that into the very first equation and solve for x.
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To solve this system of equations, you can use the method of substitution. Here's how:
Step 1: Solve one of the equations for one variable in terms of the other. Let's solve the first equation for x in terms of y:
x = y + 5
Step 2: Substitute the value of x from step 1 into the second equation. Replace x with y + 5 in the second equation:
(y + 5) + 2y = 7
Step 3: Simplify the equation:
y + 5 + 2y = 7
3y + 5 = 7
Step 4: Solve for y:
3y = 7 - 5
3y = 2
y = 2/3
Step 5: Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
x - (2/3) = 5
x = 5 + (2/3)
To add fractions, you need a common denominator. In this case, the common denominator is 3:
x = (15/3) + (2/3)
x = 17/3
Therefore, the solution to the system of equations is x = 17/3 and y = 2/3.