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Question

Use substitution to solve the linear of equations. y = 4x 3x + 5y = -46

Answer

Step-by-step explanation: Firstly, observe equation (1): y equals 4 times x. Next, we need to use equation (1) to get an expression for y in terms of x. By multiplying both sides of equation (1) by 5, we obtain 5y equals 20 times x. Now, substitute the expression for y that we just found into equation (2) for y. This gives us the equation 3x plus 20x equals negative 46. Combine like terms on the left-hand side of the equation to get 23x equals negative 46. Finally, solve for x by dividing both sides of the equation by 23. Thus, x equals 2.