Write and Represent Solutions and Equations Quick Check unit 3 solving equations lesson 9 write and represent solutions and equations

Answer 1

To represent solutions and equations, we can use algebraic expressions and variables.

For example, if we have to solve the equation 2x + 3 = 7, we can first represent this equation as:
2x + 3 = 7

Next, we can solve for x by isolating the variable on one side of the equation:
2x + 3 - 3 = 7 - 3
2x = 4
x = 2

Therefore, the solution to the equation 2x + 3 = 7 is x = 2.

We can also represent the solution graphically by plotting the equation y = 2x + 3 on a coordinate plane and finding the point of intersection with the line y = 7. The x-coordinate of the point of intersection will be the solution for x.

In summary, to write and represent solutions and equations, we can use algebraic expressions and variables to solve for unknown values and graphically represent the solutions on a coordinate plane.