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Mathematics
14 July, 05:09
Solve the following system by substitution.
X+2y=14
6x+3y=21
+5
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1
)
Olivia Wilson
14 July, 05:13
0
Step-by-step explanation:
x + 2y = 14 ... (1)
6x + 3y = 21 ... (2)
Solve for x in equation 1
When x + 2y = 14
Therefore x = 14 - 2y ... (3)
Now put equation 3 in equation 2 and solve
6x + 3y = 21 ... (2)
6 (14 - 2y) + 3y = 21
Open the bracket and resolve
84 - 12y + 3y = 21
-9y + 84 = 21
Now collect the like terms
-9y + 84 = 21
-9y = 21 - 84
-9y = - 63
Divide through by - 9 to get y
y = - 63/-9
y = 7
Substitute for y in equation (3) to x
x = 14 - 2y ... (3)
So, x = 14 - 2 (7)
x = 14 - 14
x = 0.
Therefore x = 0 and y = 7
Check: From equation (1)
x + 2y = 14
Now, put x = 0 and y = - 2
Therefore, 0 + 2 (7) = 14
0 + 14 = 14
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