Five increased by the product of seven and a number is eight
in number form

5 + 7x = 8

Step-by-step explanation:

" a number" refers to a variable. In this case 5 increased is 5 + and the product of 7 and a number is 7x or 7 times x. Then tale that whole equation and set it equal to 8.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x