Question

2x+y=8 x-y=1 help plz

Answer 1

8=2x+y
решение подбором
x=3
y=2
Проверка
2*3+2*1=8
Ответ:x=3; y=2.

Answer 2

8х на координатной примой

Answer 3

Sure, I'd be happy to help you with this system of equations!

Let's solve the system of equations step by step.

1. 2x + y = 8
2. x - y = 1

Method 1: Substitution

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve equation 2 for x: x = y + 1

Step 2: Substitute the value of x from Step 1 into the other equation (equation 1 in this case). 2(y + 1) + y = 8

Step 3: Simplify the equation and solve for y. 2y + 2 + y = 8 3y + 2 = 8 3y = 8 - 2 3y = 6 y = 6 / 3 y = 2

Step 4: Now that we have the value of y, substitute it back into either equation to solve for x. Let's use equation 2: x - 2 = 1 x = 1 + 2 x = 3

So the solution to the system of equations is x = 3 and y = 2.

Method 2: Elimination

Step 1: Add the two equations together to eliminate one variable. (2x + y) + (x - y) = 8 + 1 Combine like terms: 3x = 9

Step 2: Solve for x. x = 9 / 3 x = 3

Step 3: Now that we have the value of x, substitute it back into either equation to solve for y. Let's use equation 2: 3 - y = 1 -y = 1 - 3 -y = -2 y = 2

So the solution to the system of equations is x = 3 and y = 2, which matches the result we obtained using the substitution method.

Both methods give us the same solution: x = 3 and y = 2.