Solve the system of equations -7x+5y=14−7x+5y=14 and 6x-7y=76x−7y=7 by combining the equations
−7x+5y=14
6x-7y=7
-49x + 35y = 98
30x - 35y = 35
-------------------------
-19x = 133
x = -7
now use that to find y
To solve the system of equations -7x+5y=14 and 6x-7y=7 by combining the equations, we need to eliminate one of the variables by adding or subtracting the equations.
Let's start by eliminating the variable "x". To do this, we can multiply the first equation by 6 and the second equation by -7:
6(-7x+5y) = 6(14)
-7(6x-7y) = -7(7)
Simplifying these equations, we get:
-42x + 30y = 84
42x - 49y = -49
Now, we can add the equations together:
(-42x + 30y) + (42x - 49y) = 84 + (-49)
Simplifying further, we get:
-42x + 42x + 30y - 49y = 84 - 49
30y - 49y = 35
Combining like terms, we have:
-19y = 35
To solve for "y", we divide both sides of the equation by -19:
y = 35 / -19
Calculating this, we get:
y ≈ -1.8421
Now that we have the value of "y", we can substitute it back into one of the original equations to solve for "x". Let's use the first equation:
-7x + 5(-1.8421) = 14
Simplifying, we have:
-7x - 9.2105 = 14
Adding 9.2105 to both sides, we get:
-7x = 14 + 9.2105
-7x = 23.2105
Finally, to solve for "x", we divide both sides by -7:
x = 23.2105 / -7
Calculating this, we have:
x ≈ -3.3158
Therefore, the solution to the given system of equations is approximately x ≈ -3.3158 and y ≈ -1.8421.
No idea what your equations are with all those "bouncing" equal signs
Am I looking at 4 equations?
Are there 2 different problems here?
Are you repeating the same equation -7x+5y=14 twice ?
Not going to start guessing. Re-post in a proper form