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Mathematics
Trevor
10 February, 23:47
Solve y=2x+1
3y=4x+7
+5
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2
)
Cristofer Sheppard
11 February, 01:42
0
1.) 3 (2x+1) = 4x + 7
2.) 6x + 3 = 4x + 7
3.) 2x + 3 = 7
4.) 2x = 4
5.) x = 2
6.) y = 2 (2) + 1
7.) y = 4 + 1
8.) y = 5
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Dahlia Preston
11 February, 01:45
0
Answer: x = 2, y = 5
Step-by-step explanation:
Given:
y = 2x + 1 ... equation 1
3y = 4x + 7 ... equation 2
Solving the system of linear equation by substitution method:
substituting y = 2x + 1 into equation 2, we have
3 (2x+1) = 4x + 7
Expanding, we have:
6x + 3 = 4x + 7
Subtracting 4x from both sides, we have
6x - 4x + 3 = 7
2x + 3 = 7
subtracting 3 from both sides, we have:
2x = 4
divide through by 2
x = 2
substitute x = 2 into equation 1, that is
y = 2x + 1
y = 2 (2) + 1
y = 4 + 1
y = 5
Therefore: x = 2 and y = 5
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