Solve the system of equations by substitution.
x+y=20
y=4x
The solution of the system is
(Simplify your answer. Type an ordered pair.)
The solution of the system is (4, 16)
y=-3x+27
2y-x+9=0
The solution is
(Simplify your answer. Type integers or simplified fractions. Type an ordered pair.)
To solve this system of equations by substitution, we can substitute the expression for y from the first equation into the second equation:
2(-3x + 27) - x + 9 = 0
Simplifying this equation:
-6x + 54 - x + 9 = 0
-7x + 63 = 0
-7x = -63
x = 9
Now, we can substitute this value of x back into the first equation to find the value of y:
y = -3(9) + 27
y = -27 + 27
y = 0
Therefore, the solution to the system of equations is (9, 0).
4x+4y=-24
-3x+y=26
What is the solution of the system?
(Type an ordered pair.)
To solve this system of equations by substitution, we can rearrange the second equation to solve for y:
-3x + y = 26
y = 3x + 26
Now we can substitute this expression for y into the first equation:
4x + 4(3x + 26) = -24
4x + 12x + 104 = -24
16x + 104 = -24
16x = -128
x = -8
Substituting this value of x back into the second equation:
-3(-8) + y = 26
24 + y = 26
y = 2
Therefore, the solution to the system of equations is (-8, 2).
3x-9y=1
9y=x-1
The solution is
First, rearranging the second equation to solve for x:
x = 9y + 1
Now, substitute this expression for x into the first equation:
3(9y + 1) - 9y = 1
27y + 3 - 9y = 1
18y + 3 = 1
18y = -2
y = -2/18
y = -1/9
Substituting this value of y back into the second equation:
9(-1/9) = x - 1
-1 = x - 1
x = 0
Therefore, the solution to the system of equations is (0, -1/9).