If [tex]2x + z = 2y[/tex] and [tex]2x + 2y + z = 20[/tex], what is the value of [tex]y[/tex]?

The **value **of y is 5
Given,
2x+z=2y
2x+2y+z=20
Now,
From **equation **substitute the value of 2x,
2x = 2y -z
substitute the value in second equation ,
2y -z + 2y + z = 20
Now solve the terms with like variables ,
4y = 20
y = 5
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Answered by rairicha556 | 2024-06-17

2 x + z = 2 y → 2 x = 2 y − z s u b s t i t u t e t o 2 x + 2 y + z = 20 : ( 2 y − z ) + 2 y + z = 20 2 y − z + 2 y + z = 20 4 y = 20 / : 4 y = 5 → an s w er

Answered by Anonymous | 2024-06-24

The value of y is 5 after solving the equations. We rearranged the first equation to find z and substituted it into the second equation. By combining like terms and dividing, we found that y = 5 .
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Answered by Anonymous | 2024-10-10