To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination.
First, we can multiply equation (1) by 2 to make the coefficients of the x term in both equations the same:
4x - 2y = -14 (equation 1)
4x - y = -4 (equation 2)
Now, subtract equation (2) from equation (1) to eliminate the x term:
4x - 2y - (4x - y) = -14 - (-4)
4x - 2y - 4x + y = -14 + 4
-3y = -10
Next, we can divide both sides of the equation by -3 to solve for y:
y = (-10)/(-3)
y = 10/3
y = 3.33 (rounded to two decimal places)
Now substitute the value of y back into one of the original equations. Let's use equation (1):
2x - 3.33 = -7
2x = -7 + 3.33
2x = -3.67
x = (-3.67)/2
x = -1.83 (rounded to two decimal places)
Therefore, the solution to the system of equations is (-1.83, 3.33). Rounding to one decimal place, the solution is approximately (-1.8, 3.3). However, none of the given answer choices match the solution.
What is the solution of the system?
2x - y = -7
4x - y = -4
(1 point)
(-1.5, 4)
(1.5, 10)
(4,-1.5)
(-1.5,-2)
1 answer