Respuesta :
Answer:
x = 2 and y = 5
Step-by-step explanation:
Given the simultaneous linear equations
y = 2x + 1 and x + y = 7
We are to find the value of x and y;
Substitute 1 into 2
From 2;
x+y = 7
x+2x+1 = 7
3x+1 = 7
3x = 7-1
3x = 6
x = 6/3
x = 2
Recall that y = 2x+1
y = 2(2) + 1
y = 4+1
y = 5
Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5
The solution to the system of equations is (2,5)
The equations are given as:
y = 2x + 1
x + y = 7
Start by plotting the graphs of both equations
y = 2x + 1 and x + y = 7
See attachment for the graphs of y = 2x + 1 and x + y = 7
From the attached graph, the lines intersect at (2,5)
Hence, the solution to the system of equation is (2,5)
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