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vlabodo [156]
3 years ago
14

5х + y = 16 х+ 6у = 38

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

(2,6)

Step-by-step explanation:

Solve by substitution. Solve the second equation for x:

x+6y=38\\\\x+6y-6y=38-6y\\\\x=38-6y

Insert the value of x into the first equation:

5(38-6y)+y=16

Solve for y. Simplify multiplication using the distributive property:

5(38)+5(-6y)+y=16\\\\190-30y+y=16\\\\190-29y=16

Subtract 190 from both sides:

190-190-29y=16-190\\\\-29y=-174

Isolate the variable to find its value. Divide both sides by -29:

\frac{-29y}{-29}=\frac{-174}{-29}  \\\\y=6

Now take the value of y and insert back into either equation to solve for x:

5x+6=16

Subtract 6 from both sides:

5x+6-6=16-6\\\\5x=10

Divide both sides by 5:

\frac{5x}{5}=\frac{10}{5}\\\\  x=2

Therefore, the solution to the system is (2,6).

:Done

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