Pagina de inicio
/
Matemáticas
/
Solve the following system of equations. 3x+2y-5=0 x=y+10 Make sure there are NO SPACES in your answer. Include a comma in your answer. ANSWER: [( square 1)

Problemas

Solve the following system of equations.
3x+2y-5=0
x=y+10
Make sure there are NO SPACES in your answer. Include a comma in your answer.
ANSWER: [( square  1)

Solve the following system of equations. 3x+2y-5=0 x=y+10 Make sure there are NO SPACES in your answer. Include a comma in your answer. ANSWER: [( square 1)

Solución

avatar
Normamaestro · Tutor durante 5 años
expert verifiedVerificación de expertos
4.5 (225 votos)

Responder

To solve the system of equations, we can use substitution or elimination. In this case, we can substitute the second equation into the first equation.<br /><br />Substituting $x = y + 10$ into the first equation, we get:<br /><br />$3(y + 10) + 2y - 5 = 0$<br /><br />Simplifying, we have:<br /><br />$3y + 30 + 2y - 5 = 0$<br /><br />$5y + 25 = 0$<br /><br />$5y = -25$<br /><br />$y = -5$<br /><br />Now that we have the value of $y$, we can substitute it back into the second equation to find the value of $x$:<br /><br />$x = y + 10$<br /><br />$x = -5 + 10$<br /><br />$x = 5$<br /><br />Therefore, the solution to the system of equations is $(5,-5)$.
Haz clic para calificar: