Question

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Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y= { x + 2
2y = x + 4
The system of equations has infinitely many solutions
The two equations represent Choose
Choose
intersecting lines
the same line
parallel lines
Rach
Next

Answer 1

The system of equations has

infinitely many solutions

The two equations represent

the same line

Explanation:

Answer 2

The solution to the system of equation is (0, 2). The equation has only one solution.

Explanation:

Given the system of equations

y= x + 2 .... 1

2y = x + 4 ... 2

Substitute equation 1 into 2;

From 2; 2y = x+4

2(x+2) = x+4

2x+4 = x+4

2x - x = 4-4

x = 0

Substitute x = 0 into 1;

From 1; y = x+2

y = 0+2

y = 2

Hence the solution to the system of equation is (0, 2). The equation has only one solution.