nee help with any of the examples help me to solve this. thanks.
y= 2x +3
y= 4x -1
since they are both equal to y, you could say
4x-1 = 2x+3
2x = 4
x = 2
sub into the first
y = 4+3 = 7
x =36 -8y
where is the answer to my problem? x=36-8y
Sure! Let's solve the system of equations:
To find the solution to these linear equations, we need to find the values of x and y that satisfy both equations simultaneously.
We can start by setting the two equations equal to each other:
2x + 3 = 4x - 1
Next, let’s gather the x terms on one side of the equation and the constant terms on the other side.
Subtract 3 from both sides to move the 3 to the right side:
2x = 4x - 1 - 3
Simplify the equation:
2x = 4x - 4
Now, subtract 4x from both sides to move the 4x to the left side:
2x - 4x = -4
Simplify the equation:
-2x = -4
Finally, divide both sides by -2 to solve for x:
x = -4 / -2
x = 2
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let’s use the first equation:
y = 2(2) + 3
Simplify:
y = 4 + 3
y = 7
Therefore, the solution to the system of equations is x = 2 and y = 7.