asked 155k views
4 votes
Set y= 22x+4 and y= 14x+28 equal and solve algebraically

asked
User ENeF
by
8.8k points

1 Answer

7 votes

Answer:

x = 3; y = 70.

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.

answered
User Ahamed Moosa
by
8.6k points

Related questions

1 answer
3 votes
87.7k views
1 answer
3 votes
7.3k views
asked May 20, 2024 54.4k views
Musab Bozkurt asked May 20, 2024
by Musab Bozkurt
8.1k points
1 answer
3 votes
54.4k views
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.