Answer:
Solution: (0, 4)
Explanation:
Equation 1: x - 3y = -12
Equation 2: 4x + y = 4
Transform both equations into slope-intercept form
Equation 1: x - 3y = -12
x - 3y - x = - x -12
- 3y = -x - 12
Divide both sides by -3:
y= 1/3x + 4
slope (m) = 1/3
y -intercept is (0, 4)
Equation 2: 4x + y = 4
Subtract 4x on both sides:
4x + y - 4x = -4x + 4
y = -4x + 4
Slope (m) = -4
y - intercept = (0, 4)
Since both equations have the same y-intercept, then it means that the value of x = 0 and y = 4 will satisfy both equations.
Therefore, the solution is (0, 4).
To graph both equations, start at point (0, 4). Then use the slopes of each equation to plot other points and create lines for each given equation. Hope this helps.