x+3y=6
2x-9y=7
can you please help me im getting the wrong answers.
thank you
Triple both sides of the first equation; them add it to the last equation. That will get rid of the y term.
3x + 9y = 18
2x - 9y = 7
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5x = 25
Surely you can take it from there.
Once you know x, use either equation to solve for y. They will give the same answer.
well the answer is not 5 it is x=11 and y=-5/3
11 + 3*(-5/3) = 6, which is OK, but
2*11 -9*(-5/3) = 22 + 15 = 37, not 7
Either your "book" answer is wrong or you copied the problem incorrectly.
If the second equation were
2x + 9y = 7,
you get the answers you quoted.
Of course! I can help you solve the system of equations. To solve the system of equations:
Step 1: Choose any one of the equations and solve for one variable in terms of the other variable.
Let's choose the first equation and solve for x:
x + 3y = 6
x = 6 - 3y
Step 2: Substitute the value of x in terms of y into the other equation.
Substitute x = 6 - 3y into the second equation:
2(6 - 3y) - 9y = 7
Step 3: Simplify and solve for y.
Expand and simplify the equation:
12 - 6y - 9y = 7
-15y = -5
y = (-5)/(-15)
y = 1/3
Step 4: Substitute the value of y back into one of the original equations to solve for x.
Let's use the first equation:
x + 3(1/3) = 6
x + 1 = 6
x = 6 - 1
x = 5
So the solution to the system of equations is x = 5 and y = 1/3.
To double-check, let's substitute the values of x and y back into both equations to make sure they satisfy the equations:
Checking the first equation: 5 + 3*(1/3) = 6 ==> 5 + 1 = 6 ==> 6 = 6 (True)
Checking the second equation: 2*5 - 9*(1/3) = 7 ==> 10 - 3 = 7 ==> 7 = 7 (True)
Therefore, the solution (x = 5, y = 1/3) is correct.