solve the system of equations using substitution.
y = 2x + 5
y = 3x
a. (–5, –15)
b. (5, 15)
c. (–15, –5)
d. (1, 3)
y = 2x + 5
y = 3x
substitute, y = 3x in y = 2x + 5
y = 2x + 5
3x = 2x + 5
solve for x,
use x value to find y
What do the "?" mean?
I see them in most of your posted problems.
In this case, the "?" in this problem are part of the answer, so it didn't matter to me what they are.
But in your other posts, when they are part of the problem, I don't know what they are for, so I can't help you.
Maybe it's just me.
post back if you need more help
hi i am in love with' a quy named bran n he loves me back but id qe t it bc im so UGULY im uqly as HELL n ill laways will be
To solve the system of equations using the substitution method, we can follow these steps:
Step 1: From the given system, we have two equation:
y = 2x + 5 ...(Equation 1)
y = 3x ...(Equation 2)
Step 2: Since both equations already have "y" isolated, we can substitute Equation 2 into Equation 1 to eliminate "y".
Substitute Equation 2 into Equation 1:
3x = 2x + 5
Step 3: Solve the resulting equation for "x".
By subtracting 2x from both sides:
3x - 2x = 2x + 5 - 2x
x = 5
Step 4: Substitute the value of "x" back into Equation 2 to find the value of "y".
Using Equation 2:
y = 3(5)
y = 15
Step 5: Check the solution by substituting the values of "x" and "y" into the original equations.
Checking Equation 1:
15 = 2(5) + 5
15 = 10 + 5
15 = 15 (True)
Checking Equation 2:
15 = 3(5)
15 = 15 (True)
The solution to the system of equations is (x, y) = (5, 15).
Therefore, the correct answer is b. (5, 15).