Match each step to its justification to solve 2x+5=19
2 answers:
The steps :
- given
- subtraction property of equality
- subtract
- division property of equality
- divide
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:
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
⇒division property of equality
- 5. x = 7 ⇒ divide
<h3>Learn more </h3>
the slope-intercept form of the linear equation
a graph of a linear equation
system of linear equations
Keywords: variable, linear equation
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Answer:
The inverse of h(x) is
Step-by-step explanation:
* Lets explain how to make the inverse of a function
- To find the inverse of a function we switch x and y and then solve
for new y
- You can make it with these steps
# write g(x) = y
# switch x and y
# solve for y
# write y as
* Lets solve the problem
∵
# Step 1
∴
# Step 2
∴
# Step 3
∵
- Multiply each side by 5
∴ 5x = 2y + 6
- Subtract 6 from both sides
∴ 5x - 6 = 2y
- Divide both sides by 2
∴
# Step 4
∴