Can someone please help solve this?
Solve by using addition or substitution or addition.
10x+2y=7
y=-5x+3
the answer my got was x=11/10
y=-2
My teacher said that was wrong.
Never mind this post I found out how to solve it.
Try substitution.
10 x + 2(-5x +3) = 7
That leads to 6=7, which cannot be true.
Therefore the two equations are inconsistent and there is no solution. Another way to look at it is to say the equations are for two parallel lines that never intersect.
2y=7-10x
y=3-5x
(2y=7-10x) mulitipy by 3
(y=3-5x) multiply by -6
6y=21-30x
-6y=-18+30x
0/-/3 doesnt workkk
To solve the given system of equations:
1. Start with the two equations:
10x + 2y = 7 ---(1)
y = -5x + 3 ---(2)
2. You can solve by either substitution or addition. Let's try substitution first.
From equation (2), we have y = -5x + 3. Substitute this value of y into equation (1):
10x + 2(-5x + 3) = 7
Simplify:
10x - 10x + 6 = 7
6 = 7
Since the equation simplifies to 6 = 7, which is not true, there is no solution to the system of equations. This means the equations are inconsistent, and the lines represented by the equations are parallel and do not intersect.
Alternatively, you could use addition to solve the system. Here's how:
3. Multiply equation (2) by 2 to make the coefficients of y match:
2y = 6 - 10x
4. Now, add this modified equation (2) to equation (1):
(10x + 2y) + (6 - 10x) = 7
Simplify:
6 + 2y = 7
Subtract 6 from both sides:
2y = 1
Divide by 2:
y = 1/2
5. Substitute this value of y back into equation (2) to solve for x:
y = -5x + 3
1/2 = -5x + 3
Subtract 3 from both sides:
-5x = -5/2
Divide by -5:
x = 1/2
So, if you didn't make any mistakes while solving, your answer should be:
x = 1/2
y = 1/2
However, if your teacher said that your answer was wrong, it's possible that there was a mistake made during the calculations. Please double-check your work to ensure accuracy.