Identify the type of system of equations and solve the system of equations if possible.9𝑥−3𝑦=327𝑥−9𝑦=21Select the type of system and most correct meaning below.
Question
Identify the type of system of equations and solve the system of equations if possible.9𝑥−3𝑦=327𝑥−9𝑦=21Select the type of system and most correct meaning below.
Solution
The system of equations is:
9x - 3y = 32 7x - 9y = 21
This is a system of linear equations because each equation is linear.
To solve this system, we can use either substitution or elimination method. Here, I'll use the elimination method.
First, let's make the coefficients of y the same in both equations so we can eliminate y:
Multiply the first equation by 3 and the second equation by 1, we get:
27x - 9y = 96 7x - 9y = 21
Now, subtract the second equation from the first:
(27x - 9y) - (7x - 9y) = 96 - 21 20x = 75 x = 75 / 20 x = 3.75
Substitute x = 3.75 into the first equation:
9(3.75) - 3y = 32 33.75 - 3y = 32 -3y = 32 - 33.75 -3y = -1.75 y = -1.75 / -3 y = 0.583
So, the solution to the system of equations is x = 3.75 and y = 0.583.
Similar Questions
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