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Sagot :
[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]
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
Learn more
the slope-intercept form of the linear equation
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system of linear equations
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