Question

X-5y=23 и 7х+10у=-19 способом подстановки.Плиз

Answer 1

Ответ:

X-5y=23 и 7х+10у=-19

Х=23+5у

7х+10у=-19

7(23+5у)+10у=-19

161+45у=-19

45у=-19-161=-180

У=-4

Х=23+5у=23+5(-4)=3

Answer 2

Sure, I can help you solve the system of equations using the substitution method. Here's the step-by-step process:

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve the first equation, X - 5y = 23, for X: X = 23 + 5y

Step 2: Substitute the expression for X from Step 1 into the second equation, 7x + 10y = -19: 7(23 + 5y) + 10y = -19

Step 3: Distribute the 7 on the left side of the equation: 161 + 35y + 10y = -19

Step 4: Combine like terms: 45y + 161 = -19

Step 5: Move the constant term to the right side of the equation: 45y = -19 - 161 45y = -180

Step 6: Solve for y: y = -180 / 45 y = -4

Step 7: Now that we have the value of y, substitute it back into one of the original equations to solve for x. Let's use the first equation X - 5y = 23: X - 5(-4) = 23 X + 20 = 23

Step 8: Solve for X: X = 23 - 20 X = 3

So the solution to the system of equations is x = 3 and y = -4.