1.)The product of five and a number x

2.) two-thirds the square of a number x

3.) the sum of fifty three and x

4.) the product of thirty two and d

5.) Nineteen increased by twice a number x

Write a verbal expression for each algebraic expression

1.) 5x

2.) 24x

3.) y+19

4.) x-2

5.) y÷2

1.) 5x

2.) 2/3x^2

3.) 53 + x

4.) 32d

5.) 19 + 2x

1.) The product of five and a number x

2.) The product of twenty four and a number x

3.) The sum of a number y and nineteen

4.) The difference of a number x and two

4.) A number y divided by two / The quotient of a number y and two

Explanation:

Keep in mind the following definitions:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3