well.... this problem is really easy to approach....
which value is th x coordinate of the intersection of 3x+y=15 and x+2y=10?
a.) 3
b.) 4
c.)-3
d.)-4
C. --- (-3)
how did you get that though???
To find the x-coordinate of the intersection of the two given equations, we can use the method of substitution or elimination:
Let's solve the system of equations using the method of substitution:
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation, x + 2y = 10, for x:
x = 10 - 2y
Step 2: Substitute the expression of x, found in Step 1, into the other equation.
Substituting x = 10 - 2y into the first equation, 3x + y = 15:
3(10 - 2y) + y = 15
30 - 6y + y = 15
-5y = 15 - 30
-5y = -15
y = -15 / -5
y = 3
Step 3: Substitute the found value of y back into one of the original equations to solve for x.
Using the first equation, 3x + y = 15:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12 / 3
x = 4
Therefore, the x-coordinate of the intersection of 3x + y = 15 and x + 2y = 10 is 4.
The correct answer is b.) 4.