Solve the systems of equations algebraically. 3x + y = -5; x + 4y = 2

The solution for system of equations 3x + y = -5; x + 4y = 2 is x = -2 and y = 1

Solution:

With the help of substitution method of algebraic equations,

3x + y = - 5 equation 1

x + 4y = 2 equation 2

Multiplying equation 1 by 4, equation 1 can be rewritten as  

12x + 4y = -20 equation 3

Multiplying equation 2 by -1, equation 2 can be rewritten as,

- x - 4y = -2 equation 4

Solving equation 3 and 4, we get

12x + 4y = -20

-x - 4y = -2

11x = -22

x = -2

Substitute x = -2 in equation 2

-2 + 4y = 2

4y = 4

y = 1

hence we obtain x = -2 and y = 1

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.