Solve the system of equations.
6x–5y=27
3x+5y=36 (1 point)
(
,
)
To solve the system of equations, we can use the method of elimination. Adding the two equations together eliminates the y terms:
(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
x = 63/9
x = 7
Substituting the value of x back into one of the original equations, we can find the value of y:
3(7) + 5y = 36
21 + 5y = 36
5y = 36 - 21
5y = 15
y = 15/5
y = 3
Therefore, the solution to the system of equations is:
(x, y) = (7, 3)
To solve the system of equations:
1. Add the two equations together. This will eliminate the variable "y".
(6x - 5y) + (3x + 5y) = 27 + 36
Simplifying the equation gives:
9x = 63
2. Divide both sides of the equation by 9 to solve for "x":
9x/9 = 63/9
x = 7
3. Substitute the value of "x" back into one of the original equations. Let's use the first equation:
6x - 5y = 27
6(7) - 5y = 27
Simplifying the equation gives:
42 - 5y = 27
4. Subtract 42 from both sides of the equation to isolate "y":
-5y = 27 - 42
-5y = -15
5. Divide both sides of the equation by -5 to solve for "y":
-5y/-5 = -15/-5
y = 3
Therefore, the solution to the system of equations is:
(x, y) = (7, 3)
To solve the system of equations, we can use the method of elimination. Here's how to do it:
Step 1: Add the two equations together to eliminate the variable y.
(6x - 5y) + (3x + 5y) = 27 + 36
Combine like terms: 6x + 3x - 5y + 5y = 63
Simplify: 9x = 63
Step 2: Solve for x by dividing both sides of the equation by 9.
9x/9 = 63/9
x = 7
Step 3: Substitute the value of x back into either of the original equations to solve for y. Let's use the first equation:
6x - 5y = 27
6(7) - 5y = 27
42 - 5y = 27
Subtract 42 from both sides: -5y = -15
Divide both sides by -5: y = 3
Therefore, the solution to the system of equations is x = 7 and y = 3.
1. Solve the system of equations.
6x – 5y = 27.
3x + 5y = 36.
(____), (____).
2. Solve the system of equations.
2x + 8y = 8.
2x − 4y = −16.
(____), (____).
3. Solve the system of equations.
7x + 3y = −25.
−7x + 9y = −47.
(____), (____).
4. Solve the system of equations.
–x + 6y = 13.
4x – 10y = –10.
(____), (____).
5. Solve the system of equations.
3x + 6y = 21.
–5x + 2y = 13.
(____), (____).