solve the system of equations using substitution.
y = 3x – 4
y = 2x – 1 (1 point)
a. (–2, –9)
b. (1, –1)
c. (1, 1)
d. (3, 5)
they both equal y so set them = to each other.
3x-4=2x-1
x=3
y=3*3-4
y=5
d is the correct answer
thanks
To solve the system of equations using substitution, we need to solve one equation for one variable and substitute it into the other equation.
Let's solve the second equation for y:
y = 2x - 1
Now, substitute this value of y into the first equation:
3x - 4 = 2x - 1
Next, isolate x by moving the constants to one side and the variables to the other side:
3x - 2x = -1 + 4
x = 3
Now substitute the value of x back into either equation. Let's use the second equation:
y = 2(3) - 1
y = 6 - 1
y = 5
Therefore, the solution to the system of equations is (3, 5).
So, the correct answer is d. (3, 5).