Solve the system by substitution.
7x − 3y = 8
y = 3x
A) (1, 2)
B) (2, 1)
C) (0, 0)
D) (3, 5)
Solve the system by substitution
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Solve the system by substitution.
7x − 3y = 8
y = 3x
A) (1, 2)
B) (2, 1)
C) (0, 0)
D) (3, 5)
To solve the system of equations by substitution, we follow these steps:
1. We have the equations:
[
7x – 3y = 8 quad (1)
]
[
y = 3x quad (2)
]
2. Substitute equation (2) into equation (1):
Replace ( y ) in (1) with ( 3x ):
[
7x – 3(3x) = 8
]
Simplifying gives:
[
7x – 9x = 8
]
[
-2x = 8
]
[
x = -4
]
3. Now, substitute ( x = -4 ) back into equation (2) to find ( y ):
[
y = 3(-4) = -12
]
4. So, the solution of the system is ( (x, y) = (-4, -12) ).
Since the answer isn’t provided in the options A, B, C, or D, please double-check your equations or the options given. If you need further assistance, check the extended services page for more help!