The system of equations y=-2x+3 and y= x is graphed. What is the solution to the system of equations?
Answer:
1,1
Step-by-step explanation:
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The solution of the system of equations in terms of (x,y) is (1,1)
The system of equations can either be solved using the simultaneous equation method or the elimination method. Here, we will be using the simultaneous equation method.
Given that:
y = -2x + 3 --- (1)
y = x ---- (2)
Let replace the value of y in equation (2) back to equation (1)
∴
y = -2x + 3 becomes:
x = -2x + 3
x + 2x = 3
3x = 3
x = 3/3
x = 1
Since (x) is = 1
From equation (2), we know that y = x
∴
y = 1
Therefore, we can conclude that the solution of the system of equations in terms of (x,y) is (1,1)
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