Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit.

Systems of linear equations

Infinite amount of solutions

Step-by-step explanation:

Step 1: Rearrange 1st equation

2y = -x + 10

6y = -3x + 30

Step 2: Multiply top equation by 3

6y = -3x + 30

6y = -3x + 30

Since they have the same slope and same y-intercept, they are both the same line. That means that the systems of linear equations has infinite amount of solutions.

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !