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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the solution to the system of linear equations? 3x - y = 23, 4x + 3y = 48
Solution:
A system of linear equations is a set of equations that are satisfied by the same set of variables.
We have equations, 3x - y = 23 ----- (1) and
4x + 3y = 48 ------- (2)
From Equation (1), y = 3x - 23 ------ (3)
Substitute y = 3x - 23 in Equation (2)
4x + 3(3x - 23) = 48
13x - 69 = 48
13x = 117
x = 9
Now, substitute x = 9 in Equation (3)
y = 3 (9) - 23 = 4
So, the required solution is x = 9 and y = 4
What is the solution to the system of linear equations? 3x - y = 23, 4x + 3y = 48
Summary:
The solution to the system of linear equations 3x - y = 23, 4x + 3y = 48 is x = 9, y = 4
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