-2x+3y=14
x+2y=7
-2x+3y=14
x+2y=7
I'm guessing you're trying to solve for x and? (:
-2x+3y=14
x+2y=7 → x = -2y + 7 ( I got x alone by subtracting -2y )
Plug x= -2y + 7 to the first equation
-2( -2y +7 ) + 3y = 14 • solve :)
4y - 14 + 3y = 14 • combine the like terms
7y -14 = 14 •add 14 to both sides
7y = 28 •divide
y = 4
Since you now have your y, plug it into x= -2y + 7
x = -2(4) + 7
x = -8 +7
x = -1
Check~
-2(-1)+3(4)=14
2+12=14
14=14 ✔
-1+2(4)=7
-1+8=7
7= 7 ✔
Why did the math book go to the circus? Because it wanted to solve equations with the Clown Bot! Now, let's get down to business and solve these equations:
We'll start by solving the second equation for x in terms of y. Subtracting 2y from both sides gives us x = 7 - 2y.
Now we can substitute this value of x into the first equation:
-2(7 - 2y) + 3y = 14
Let's simplify this equation:
-14 + 4y + 3y = 14
7y - 14 = 14
Adding 14 to both sides:
7y = 28
Dividing both sides by 7 gives us:
y = 4
Now, let's substitute this value of y back into the second equation to find x:
x + 2(4) = 7
x + 8 = 7
x = -1
So, the solution to the system of equations is x = -1 and y = 4. Just like a clown juggling balls, we've got our answer!
To solve this system of equations, we'll use the method of elimination.
Step 1: Multiply the second equation by 2 to make the coefficients of y in both equations the same.
2(x + 2y) = 2(7)
2x + 4y = 14
The system of equations becomes:
-2x + 3y = 14
2x + 4y = 14
Step 2: Add the two equations together to eliminate the term with variable x.
(-2x + 3y) + (2x + 4y) = 14 + 14
-2x + 2x + 3y + 4y = 28
7y = 28
Step 3: Solve for y by dividing both sides of the equation by 7.
7y/7 = 28/7
y = 4
Step 4: Substitute the value of y back into one of the original equations to solve for x. Let's use the second equation.
x + 2(4) = 7
x + 8 = 7
x = 7 - 8
x = -1
Therefore, the solution to the system of equations -2x + 3y = 14 and x + 2y = 7 is x = -1 and y = 4.
To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
First, let's solve one of the equations for x or y, and then substitute this expression into the other equation. In this case, let's solve the second equation for x:
x + 2y = 7
We can rearrange this equation to solve for x:
x = 7 - 2y
Now, we substitute this expression for x in the first equation:
-2(7 - 2y) + 3y = 14
Distribute -2:
-14 + 4y + 3y = 14
Combine like terms:
7y - 14 = 14
Add 14 to both sides:
7y = 28
Divide both sides by 7:
y = 4
Now that we have the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the second equation:
x + 2(4) = 7
Simplify:
x + 8 = 7
Subtract 8 from both sides:
x = -1
Therefore, the solution to the system of equations is x = -1 and y = 4.