Given that: 4x-y+9=0 and 3y-2x=7, solve for y
multiply the second equation by 2, then add the equations.
4x-y+9+6y-4x=14
5y+9=14 solve for y,
am I doing
2(5y + 9)=14
10y + 18 =14
does y= -2.5
oh i think i got it does y=1
To solve the given system of equations, we can use the method of substitution or the method of elimination.
Let's use the method of substitution:
Step 1: Solve one equation for one variable in terms of the other variable.
From the first equation, we can solve for y:
4x - y + 9 = 0
y = 4x + 9
Step 2: Substitute the expression for the variable we solved in step 1 into the other equation.
Now, we substitute 4x + 9 for y in the second equation:
3y - 2x = 7
3(4x + 9) - 2x = 7
12x + 27 - 2x = 7
10x + 27 = 7
10x = 7 - 27
10x = -20
x = -20 / 10
x = -2
Step 3: Substitute the value of x obtained in step 2 back into one of the original equations to solve for y.
Using the first equation:
4x - y + 9 = 0
4(-2) - y + 9 = 0
-8 - y + 9 = 0
y - 8 + 9 = 0
y = -1
Therefore, the solution to the system of equations is x = -2 and y = -1.