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

The value of 2x + 2y = 10

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

Can be stated in the form:

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:

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

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

 x + 3y = 1 x3 ----> 3x + 9y = 3

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

                                       -8y = 16

                                          y = -2

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

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°