x+2y = 87, x+y =52. The value of 4x-3y is?
subtract the 2nd from the first:
y = 35
then from the 2nd: x = 17
Now you can find 4x - 3y
To find the value of 4x - 3y, we need to solve the given system of equations:
Equation 1: x + 2y = 87
Equation 2: x + y = 52
We can solve this system using the method of substitution or elimination. Let's use the method of substitution:
1. Solve Equation 2 for x:
x = 52 - y
2. Substitute the value of x from Equation 2 into Equation 1:
(52 - y) + 2y = 87
3. Simplify the equation:
52 - y + 2y = 87
52 + y = 87
4. Subtract 52 from both sides of the equation:
y = 87 - 52
y = 35
5. Substitute the value of y back into Equation 2 to find x:
x + 35 = 52
x = 52 - 35
x = 17
Now that we have the values of x and y, we can find the value of 4x - 3y:
4x - 3y = 4(17) - 3(35)
= 68 - 105
= -37
Therefore, the value of 4x - 3y is -37.
To find the value of 4x - 3y, we can use the given system of equations:
Equation 1: x + 2y = 87
Equation 2: x + y = 52
To solve this system, we can use the method of substitution or elimination. Let's use the substitution method:
From Equation 2 (x + y = 52), we can solve for x in terms of y by subtracting y from both sides:
x = 52 - y
Now, substitute this expression (52 - y) for x in Equation 1:
(52 - y) + 2y = 87
Simplifying this equation, we get:
52 - y + 2y = 87
52 + y = 87
y = 87 - 52
y = 35
Now, substitute this value for y back into Equation 2 to find the value of x:
x + (35) = 52
x + 35 = 52
x = 52 - 35
x = 17
We have found that x = 17 and y = 35.
Finally, substitute the values of x and y into 4x - 3y:
4(17) - 3(35)
68 - 105
= -37
Therefore, the value of 4x - 3y is -37.