3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
Answer:
Point of intersection is (-2, -1).
Step-by-step explanation:
The diagonals bisect each other so we only need to find the midpoint of one of the diagonals. We'll use the diagonal qs:-
Midpoint = (-8 + 4)/2, (1 + -3)/2
= (-2, -1)
Answer:
Step-by-step explanation:
it is not.
Answer:
6 = A, 2 = B, -5 = C
Step-by-step explanation:
Answer:
perpendicular
Step-by-step explanation:
the photo shows a diagram. it does not intersect. the line was extrapolated to show it was perpendicular.
