Question

Match each step to its justification to solve 2x+5=19

Answer 1

The steps :

• given
• subtraction property of equality
• subtract
• division property of equality
• divide

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:

$\large{\boxed{\bold{ax=b}}}$

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:

 $\large{\boxed{\bold{ax+by=c}}}$

ax + by = c

x, y = variable

There are 2 general steps to solving a linear equation of one variable:

• 1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers

• 2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

In the equation

2x + 5 = 19

The right steps to complete it according to the images included are:

• 1. 2x + 5 = 9 ⇒ given

• 2. both segments are subtracted by the number 5

 2x + 5 -5 = 9-5  ⇒subtraction property of equality

• 3. 2x = 14  ⇒subtract

• 4. both segments are divided by 2 so that the coefficient x = 1

${\displaystyle {\frac {2x} {2}}=~\frac{14}{2}$

⇒division property of equality

• 5. x = 7 ⇒ divide

Learn more

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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Keywords: variable, linear equation

Answer 2

It is the steps to get to that certain step
some of the steps are out of order
I'm going to assign letters

the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7


A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide