Set y= 22x+4 and y= 14x+28 equal and solve algebraically

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign.  In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other.  The first step for this equation is to get the variable on one side and the constants on the other.  Subtracting 14x from both sides:  22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28.  Next, subtract the 4 from both sides to get:  8x +4 - 4 = 28 - 4 or 8x = 24.  Lastly, divide both sides by 8 to get x = 3.  To solve for y, simply plug 3 in for 'x' in either of the initial equations:  y = (22)(3) + 4 = 70.

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x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x