can someone correct this for me please.
Directions: Solve the system by substitution.
x + y = 12
y = 2x
this is what i did:
in the first equation i substituted y for what i have in the second equation so now it looks like this:
x +2x = 12
3x = 12
x = 4
now i substitute my x into the first equation to look like this:
4 + y = 12
y = 8
so the answer is for variable x its 4
for variable y is 8
right!
thank you.
Great job! Your solution is correct. Let me explain how you arrived at the answer step by step:
1. The first step is to substitute the value of y from the second equation into the first equation. You correctly replaced y in the first equation with 2x since the second equation states that y equals 2x.
So now, your system of equations becomes:
x + 2x = 12
2. Next, you simplify the equation by combining like terms. In this case, you add the x terms together:
3x = 12
3. To isolate x, divide both sides of the equation by 3:
(3x)/3 = 12/3
x = 4
So, you found that x = 4.
4. Finally, substitute the value of x back into either of the original equations to find y. You correctly substituted x = 4 into the first equation and solved for y:
4 + y = 12
To isolate y, subtract 4 from both sides:
y = 8
Therefore, you correctly found that x = 4 and y = 8, which is the solution to the system of equations.
Well done!