Question

Given the system of equations 4x+2y=8 and 5x-3y=4, what is the value of x

Answer 1

◆ LINEAR EQUATIONS IN TWO VARIABLES ◆


$given \: the \: sytem \: of \: equation \: - \\ \\ 4x + 2y = 8 \: \\ therefore \\ \\ \: 2x + y = 4 \: \: \: - - - eq(1)\\ \\ 5x - 3y = 4 \: \: \: \: - - - eq(2) \\ \\ multiplying \: eq(1) \: \: by \: \: - 3 \: \\ \\ we \: get \: - \\ \\ - 6x - 3y = - 12 \: \: \: - - - eq(3) \\ \\ solving \: eq(2) \: and \: eq(3) \: simultaneously \\ \\ we \: get \: - \\ \\ 11x = 16 \\ \\ x = \frac{16}{11} \: \: \: \: \: ans.$