Final answer:
To solve the system of equations, substitute y = 3x from the first equation into the second equation. Simplify the equation and solve for x. Substituting the value of x into the first equation gives the value of y.
Step-by-step explanation:
To solve the system of equations, we can use the method of substitution. From the first equation, we can express y in terms of x as y = 3x. Substituting this value of y in the second equation, we get 5x + 2(3x) = 44. Simplifying this equation gives us 11x = 44, and solving for x, we find x = 4. Substituting this value of x in the first equation, we find y = 3(4) = 12. Therefore, the solution to the system of equations is x = 4 and y = 12.
The solution to the system of equations y=3x and 5x+2y=44 is x=4, y=12.
Initially, we have two equations: equation 1, y=3x, and equation 2, 5x+2y=44. To solve this system, we can substitute the expression for y from equation 1 into equation 2. This gives us 5x + 2(3x) = 44, which simplifies to 5x + 6x = 44. Upon combining like terms, we get 11x = 44. Dividing both sides by 11 yields x=4. Substituting x=4 into equation 1 gives us y=3(4) = 12. Therefore, our final answer consists of the values x=4 and y=12.