Question

What is 4x+3y=14 2y=6+4x

Answer 1

To solve the system of equations 4x+3y=14 and 2y=6+4x, we can find the values of x and y that satisfy both equations. By solving for y in terms of x and substituting the expression back into one of the equations, we can find the values x = 0.5 and y = 1.

Step-by-step explanation:

Given the equations 4x+3y=14 and 2y=6+4x, we can solve for the values of x and y that satisfy both equations.

First, let's solve for y in terms of x using the second equation: 2y=6+4x. Divide both sides by 2 to get y = 3 + 2x.

Substitute this expression for y into the first equation: 4x + 3(3 + 2x) = 14. Simplify the expression to get 4x + 9 + 6x = 14. Combine like terms to get 10x + 9 = 14. Subtract 9 from both sides to get 10x = 5. Divide both sides by 10 to get x = 0.5.

Now, substitute the value of x back into either equation to solve for y: 2y = 6 + 4(0.5). Simplify to get 2y = 6 + 2. Subtract 6 from both sides to get 2y = 2. Finally, divide both sides by 2 to get y = 1.

Answer 2

4x+3y=14
2y=6+4x
we can isolate the y in the second function
2y=6+4x
/2 /2
y=3+2x
then change all the y to 3+2x in first function
4x+3(3+2x)=14
4x+9+6x=14
10x=5
/10 /10
x=0.5 or 1/2
then fill the x in the function, get y.(each function will work)
2y=6+4x
2y=6+4(1/2)
2y=6+2
2y=8
y=4
x=0.5 y=4