3x + y = 19 , and x + 3y = 1.
Find the value of 2x + 2y
Can anyone explain this one for me?

[tex]First\ solve\ system\ of\ equations\ to\ find\ values\ of\ x\ and\ y\\\\ \left \{ {{3x+y=19\ \ |*(-3)} \atop {x+3y=1\ \ \ \ \ \ \ \ \ }} \right.\\\\ \left \{ {{-9x-3y=-57} \atop {x+3y=1 }} \right.\\+------\\Addition\ method\\\\ -8x=-56\ \ |:(-8)\\\\x=7\\\\y=19-3x=19-3*7=19-21=-2\\\\ 2x+2y=2*7+2*(-2)=14-4=10\\\\Answer\ is\ 10.[/tex]

Answer Link

Ardni313id Ardni313id · Answer 2

The value of 2x + 2y = 10

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

[tex] \large {\boxed {\bold {ax = b}} [/tex]

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]

x, y = variable

3x + y = 19, and x + 3y = 1

The two equations above are equation 2 variables

Can be solved by elimination and substitution

1. Elimination

3x + y = 19 x1 ---> 3x + y = 19

x + 3y = 1 x3 ----> 3x + 9y = 3

---------------- -

-8y = 16

y = -2

2. Substitution

x + 3 (-2) = 1

x -6 = 1

x = 7

We input both x and y values to solve the equation:

2x + 2y

2 (7) +2 (-2)

= 14-4

= 10

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