Question

Розв'яжіть систему рівня способом підстановки: {x-4y=6 {2x-7y=8 допоможіть контрольне запитання срочно ​ Смотреть ответ Chajkun Chajkun Відповідь:(-10 ; -4)Пояснення:   2*(6+4y)-7y=812+8y-7y=8y= -4Отже,   В: (-10 ; -4) Дякую) добре Відміть, будь ласка, як кращу відповідь

Answer 1

Solving the System of Equations by Substitution

To solve the system of equations using the method of substitution, we will solve one equation for one variable and substitute that expression into the other equation. Let's solve the given system of equations step by step:

Equation 1: x - 4y = 6 ---(1) Equation 2: 2x - 7y = 8 ---(2)

Step 1: Solve Equation 1 for x: From Equation 1, we can isolate x by adding 4y to both sides: x = 6 + 4y

Step 2: Substitute the expression for x in Equation 2: Replace x in Equation 2 with the expression we found in Step 1: 2(6 + 4y) - 7y = 8

Step 3: Simplify and solve for y: Distribute 2 to the terms inside the parentheses: 12 + 8y - 7y = 8

Combine like terms: 12 + y = 8

Subtract 12 from both sides: y = 8 - 12 y = -4

Step 4: Substitute the value of y back into Equation 1 to find x: x = 6 + 4(-4) x = 6 - 16 x = -10

Therefore, the solution to the system of equations is x = -10 and y = -4.

Note: The solution to the system of equations is (-10, -4).

I hope this helps! Let me know if you have any further questions.