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.)
10 months ago
10 months ago
y=-3x+27
2y-x+9=0
The solution is
(Simplify your answer. Type integers or simplified fractions. Type an ordered pair.)
10 months ago
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).
10 months ago
4x+4y=-24
-3x+y=26
What is the solution of the system?
(Type an ordered pair.)
10 months ago
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).
10 months ago
3x-9y=1
9y=x-1
The solution is
10 months ago
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).